special linear group SL(n,R)
GPTKB entity
Statements (32)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:group_of_people
gptkb:Lie_group |
| gptkbp:actsOn |
R^n
|
| gptkbp:centralTo |
{I, -I} for n even
{I} for n odd |
| gptkbp:compact |
true
|
| gptkbp:containsElement |
n x n real matrices with determinant 1
|
| gptkbp:definedIn |
real numbers
|
| gptkbp:determinant |
1
|
| gptkbp:dimensions |
n^2 - 1
|
| gptkbp:hasConnection |
true
|
| gptkbp:hasSubgroup |
gptkb:general_linear_group_GL(n,R)
|
| https://www.w3.org/2000/01/rdf-schema#label |
special linear group SL(n,R)
|
| gptkbp:isAlgebraicGroup |
true
|
| gptkbp:isMatrixGroup |
true
|
| gptkbp:isNonAbelian |
true
|
| gptkbp:isReductive |
true
|
| gptkbp:isSemisimple |
true
|
| gptkbp:isSimple |
n >= 2
|
| gptkbp:Lie_algebra |
gptkb:sl(n,R)
|
| gptkbp:notation |
gptkb:SL(n,R)
|
| gptkbp:realForm |
gptkb:SL(n,C)
|
| gptkbp:usedIn |
gptkb:algebraic_geometry
gptkb:geometry control theory differential geometry dynamical systems number theory physics representation theory |
| gptkbp:bfsParent |
gptkb:simple_Lie_groups
|
| gptkbp:bfsLayer |
6
|